STAT 3128 Homeowrk Section 8.1 - 8.3. Question 1. An article reports the following values for soil heat flux of eight plots covered with coal dust. 34.8 33.7 34.8 35.3 33.3 28.5 18.3 24.6 The mean soil heat flux for plots covered only with grass is 25. Assuming that the heat flux distribution is normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses at the significance level 0.05 (a) State the appropriate null and alternative hypotheses. (b) State the distribution of the test statistic and calculate its value. (c) Calculate the p-value or find the critical value for this test. (d) State the conclusion: either reject the null hypothesis or fail to reject the null hypothesis.

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STAT 3128
Homeowrk Section 8.1 - 8.3.
Question 1. An article reports the following values for soil heat flux of eight plots covered
with coal dust.
34.8 33.7 34.8 35.3 33.3 28.5 18.3 24.6
The mean soil heat flux for plots covered only with grass is 25. Assuming that the heat flux
distribution is normal, does the data suggest that the coal dust is effective in increasing the
mean heat flux over that for grass? Test the appropriate hypotheses at the significance level
0.05
(a) State the appropriate null and alternative hypotheses.
(b) State the distribution of the test statistic and calculate its value.
(c) Calculate the p-value or find the critical value for this test.
(d) State the conclusion: either reject the null hypothesis or fail to reject the null hypothesis.
Transcribed Image Text:STAT 3128 Homeowrk Section 8.1 - 8.3. Question 1. An article reports the following values for soil heat flux of eight plots covered with coal dust. 34.8 33.7 34.8 35.3 33.3 28.5 18.3 24.6 The mean soil heat flux for plots covered only with grass is 25. Assuming that the heat flux distribution is normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses at the significance level 0.05 (a) State the appropriate null and alternative hypotheses. (b) State the distribution of the test statistic and calculate its value. (c) Calculate the p-value or find the critical value for this test. (d) State the conclusion: either reject the null hypothesis or fail to reject the null hypothesis.
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